I doubt they are bluffing. The pedestrian's medical coverage obviously has a subrogation clause which states that they have the right to pursue you in the event you cause injury for which they have to pay their insured, the pedestrian.
I suggest that you attempt to work out a reasonable amount and payment schedule to satisfy their claim. Hopefully you have now obtained insurance for your vehicle. No one should own or operate any motor vehicle without maintaining adequate automobile liability insurance coverage on it at all times.
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They are not bluffing. The problem is that The accident is covered under No Fault. If you don't have insurance you don't get protected under the act. You may want to talk to a lawyer and let them investigate and try to negotiate a deal. Good Luck!